2802852 has 72 divisors (see below), whose sum is σ = 7842744. Its totient is φ = 838656.

The previous prime is 2802847. The next prime is 2802853. The reversal of 2802852 is 2582082.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 2802276 = 24^2 + 1674^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2802853) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24748 + ... + 24860.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

2^2802852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2802852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921372).

2802852 is an abundant number, since it is smaller than the sum of its proper divisors (5039892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2802852 is a wasteful number, since it uses less digits than its factorization.

2802852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2802852 is about 1674.1720341709. The cubic root of 2802852 is about 140.9938129170.

The spelling of 2802852 in words is "two million, eight hundred two thousand, eight hundred fifty-two".